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45338825 = 527417189
BaseRepresentation
bin1010110011110…
…1000011001001
310011022110011202
42230331003021
543101320300
64255433545
71060242110
oct254750311
9104273152
1045338825
1123657804
12132258b5
13951590c
146042c77
153ea8ad5
hex2b3d0c9

45338825 has 48 divisors (see below), whose sum is σ = 67495680. Its totient is φ = 29568000.

The previous prime is 45338809. The next prime is 45338827. The reversal of 45338825 is 52883354.

45338825 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45338825 - 24 = 45338809 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45338827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509381 + ... + 509469.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 245338825 is an apocalyptic number.

It is an amenable number.

45338825 is a deficient number, since it is larger than the sum of its proper divisors (22156855).

45338825 is a wasteful number, since it uses less digits than its factorization.

45338825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 213 counting only the distinct ones).

The product of its digits is 115200, while the sum is 38.

The square root of 45338825 is about 6733.4110969107. The cubic root of 45338825 is about 356.5798135778.

The spelling of 45338825 in words is "forty-five million, three hundred thirty-eight thousand, eight hundred twenty-five".

Divisors: 1 5 7 25 35 41 71 89 175 205 287 355 445 497 623 1025 1435 1775 2225 2485 2911 3115 3649 6319 7175 12425 14555 15575 18245 20377 25543 31595 44233 72775 91225 101885 127715 157975 221165 259079 509425 638575 1105825 1295395 1813553 6476975 9067765 45338825